Abstract
The effects of collisions on the most unstable modes encountered in relativistic electron-beam plasma interaction are investigated. These modes are a mix between two-stream and filamentation modes. It is analytically proven that as long as the effective collision frequency ν is much smaller than the plasma frequency ωp, the maximum growth rate is just reduced, and eventually canceled, by ν when collisions are accounted for. An analytic model for the fluid case is developed.
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